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5482300320 = 25345728997
BaseRepresentation
bin1010001101100010…
…10100001110100000
3112011001220201020000
411012301110032200
542211432102240
62304000420000
7252566532600
oct50661241640
915131821200
105482300320
112363685412
121090017600
13694a575b3
143a016ac00
15221475430
hex146c543a0

5482300320 has 720 divisors, whose sum is σ = 22994322120. Its totient is φ = 1226244096.

The previous prime is 5482300319. The next prime is 5482300333. The reversal of 5482300320 is 230032845.

It can be written as a sum of positive squares in 4 ways, for example, as 3447568656 + 2034731664 = 58716^2 + 45108^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 56518512 + ... + 56518608.

Almost surely, 25482300320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5482300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11497161060).

5482300320 is an abundant number, since it is smaller than the sum of its proper divisors (17512021800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5482300320 is a wasteful number, since it uses less digits than its factorization.

5482300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5482300320 is about 74042.5574922963. The cubic root of 5482300320 is about 1763.2786165969.

The spelling of 5482300320 in words is "five billion, four hundred eighty-two million, three hundred thousand, three hundred twenty".